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JURNAL ILMIAH MATEMATIKA DAN TERAPAN
Published by Universitas Tadulako
ISSN : 18298133     EISSN : 2450766X     DOI : -
Core Subject : Education,
Mathematics
Jurnal Ilmiah Matematika dan Terapan adalah Jurnal yang diterbitkan oleh Program Studi Matematika FMIPA Universitas Tadulako. Jurnal ini menerbitkan artikel hasil penelitian atau telaah pustaka bersifat original meliputi semua konsentrasi bidang ilmu matematika dan terapannya, seperti analisis, aljabar, kombinatorika, matematika diskrit, statistika, dan semua aspek terapannya.
Arjuna Subject : Matematika - Matematika (Lain-Lain)
Articles 14 Documents
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Search results for , issue "Vol. 15 No. 2 (2018)" : 14 Documents clear
PELABELAN SELIMUT AJAIB SUPER PADA GRAF LINTASAN Farida, N; Sudarsana, I W; Resnawati, Resnawati
JURNAL ILMIAH MATEMATIKA DAN TERAPAN Vol. 15 No. 2 (2018)
Publisher : Program Studi Matematika, Universitas Tadulako

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (655.298 KB) | DOI: 10.22487/2540766X.2018.v15.i2.11347

Abstract

Let 𝐺 = (𝑉, 𝐸) be a simple graph. An edge covering of 𝐺 is a family of subgraphs 𝐻1 , … , 𝐻𝑘 such that each edge of 𝐸(𝐺) belongs to at least one of the subgraphs 𝐻𝑖 , 1 ≤ 𝑖 ≤ 𝑘. If every 𝐻𝑖 is isomorphic to a given graph 𝐻, then the graph 𝐺 admits an 𝐻 − covering. Let 𝐺 be a containing a covering 𝐻, and 𝑓 the bijectif function 𝑓: (𝑉 ∪ 𝐸) → {1,2,3, … , |𝑉| + |𝐸|} is said an 𝐻 −magic labeling of 𝐺 if for every subgraph 𝐻 ′ = (𝑉 ′ ,𝐸 ′ ) of 𝐺 isomorphic to 𝐻, is obtained that ∑ 𝑓(𝑉) + ∑ 𝑓(𝐸) 𝑒∈𝐸(𝐻′ 𝑣∈𝑉(𝐻 ) ′ ) is constant. 𝐺 is said to be 𝐻 −super magic if 𝑓(𝑉) = {1, 2, 3, … , |𝑉|}. In this case, the graph 𝐺 which can be labeled with 𝐻-magic is called the covering graph 𝐻 −magic. The sum of all vertex labels and all edge labels on the covering 𝐻 − super magic then obtained constant magic is denoted by ∑ 𝑓(𝐻). The duplication graph 2 of graph 𝐷2 (𝐺) is a graph obtained from two copies of graph 𝐺, called 𝐺 and 𝐺 ′ , with connecting each respectively vertex 𝑣 in 𝐺 with the vertexs immediate neighboring of 𝑣 ′ in 𝐺 ′ . The purpose of this study is to obtain a covering super magic labeling for of 𝐷2 (𝑃𝑚) on (𝐷2 (𝑃𝑛 )) for 𝑛 ≥ 4 and 3 ≤ 𝑚 ≤ 𝑛 − 1. In this paper, we have showed that duplication path graph (𝐷2 (𝑃𝑛 )) has 𝐷2 (𝑃𝑚) covering super magic labeling for 𝑛 ≥ 4 and 3 ≤ 𝑚 ≤ 𝑛 − 1 with constant magic for all covering is ∑ 𝑓(𝐷2 (𝑃𝑚) (𝑠) ) = ∑ 𝑓(𝐷2 (𝑃𝑚) (𝑠+1) )
MODEL DINAMIK FASE PERTUMBUHAN BUAH KELAPA Yulinda, Yulinda; Jaya, A I; Ratianingsih, R
JURNAL ILMIAH MATEMATIKA DAN TERAPAN Vol. 15 No. 2 (2018)
Publisher : Program Studi Matematika, Universitas Tadulako

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (585.558 KB) | DOI: 10.22487/2540766X.2018.v15.i2.11348

Abstract

Coconut (Cocos nucifera L.) is one of the Indonesian potential natural plant resources. Its fruit is a main part of the tree that plays an important role in raw materials industry. It is because the material could be processed to be a benefical various products. The diversity of the coconut fruit products leads to the importance of the study on coconut growth phase development. The model is expressed in a system of differential equation 𝑑𝑀 𝑑𝑡 = 𝑅 − 𝛼𝑀 − 𝜇1𝑀, 𝑑𝑃 𝑑𝑡 = 𝛼𝑀 − 𝜇2𝑃 − 𝛽𝑃, 𝑑𝐶 𝑑𝑡 = 𝛽𝑃 − 𝜇3𝐶 − ϵ𝐶, 𝑑𝑀𝑎 𝑑𝑡 = 𝜖𝐶 − 𝜇4𝑀𝑎 − γ𝑀𝑎, 𝑑𝑀𝑠 𝑑𝑡 = 𝛾𝑀𝑎 − 𝜇5𝑀𝑠 − 𝜎𝑀𝑠, 𝑑𝑀𝑝 𝑑𝑡 = 𝜎𝑀𝑠 − 𝜇6𝑀𝑝 . The dinamic of coconut growth phase is studied by consider its stability at the critical point. The stability is determined using linearization method. The solution is analyzed both analitically and numerically. Simulated a stable endemic critical point indicates that the coconut production could be well prevent in each phase of growth
MEMBANGUN MODEL DINAMIS PENANGKARAN POPULASI MALEO (Macrochepalon Maleo) YANG MEMPERTAHANKAN EKSISTENSINYA DARI PREDATOR Gusmawan, T; Ratianingsih, R; Nacong, N
JURNAL ILMIAH MATEMATIKA DAN TERAPAN Vol. 15 No. 2 (2018)
Publisher : Program Studi Matematika, Universitas Tadulako

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (723.8 KB) | DOI: 10.22487/2540766X.2018.v15.i2.11349

Abstract

Maleo (Macrocephalon maleo) is one of the endangered endemic species of Sulawesi due to diminishing spawning habitat, community exploitation and predators. The dynamic model of maleo population captivity to conserve its existence from predators is a mathematical model that describes the dynamics of maleo population growth cycle (M) with the threat of predators (P). In this study, the population of eggs maleo divided into two groups that are eggs in the free zone (Tb) and eggs in breeding (Tp). The eggs are in the captive breeding will be transfered to the exposure group (E). The model represents the interaction between the predators and populations reflecting maleo in each growth phase. The model has two critical points, namely the critical point 𝑇1 = ( 0,0,0,0, 𝜑 µ2 ) describing maleo extinction condition and critical point 𝑇2 = (𝑀∗ , 𝑇𝑝∗ ,𝐸 ∗ , 𝑇𝑏∗ , 𝑃 ∗ ) which describes the endemic conditions of maleo growth dynamics. The stability analysis shows that the system is unstable at both critical points. It is because the values of the first column in the Routh Hurwitz table changes in sign. Simulations of the endemic conditions showed that the maleo and egg populations in the free zone are decreasing with respect to time even though the exposed maleo still exist. The unstable endemic indicates that the existence of maleo breeding program in conservation areas still need another efforts support.
RANCANG BANGUN SISTEM INFORMASI AKADEMIK FMIPA UNIVERSITAS TADULAKO BERBASIS ANDROID Prasetyo, W F; Sudarsana, I W; Lusiyanti, D
JURNAL ILMIAH MATEMATIKA DAN TERAPAN Vol. 15 No. 2 (2018)
Publisher : Program Studi Matematika, Universitas Tadulako

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (1009.098 KB) | DOI: 10.22487/2540766X.2018.v15.i2.11350

Abstract

Academic information system based on Android necessary to support the effectiveness management of academic data such as input card study plan and input the value of course. To build Siakad Android application, the authors do the research of the database web Siakad Faculty of Natural Science Tadulako University that includes all the data of students, faculty, courses, card study plan, and card study result. The purpose of this study was to obtain academic information system based on Android Tadulako University Faculty of Mathematics and Natural Sciences. This application is built with features such as view bio, view the result of study, view the transcript, input study plan card, input result study card, wait confirm of study plan, and confirm study plan. Based on the results and discussion, it can be concluded that academic information system can support the effectiveness of academic data processing, such as the study plan input, and the input value of the course.
PENANGANAN PRODUKSI BUAH PISANG PASCA PANEN MELALUI MODEL PENGENDALIAN GAS ETILEN Dafri, M; Ratianingsih, R; Hajar, Hajar
JURNAL ILMIAH MATEMATIKA DAN TERAPAN Vol. 15 No. 2 (2018)
Publisher : Program Studi Matematika, Universitas Tadulako

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (617.194 KB) | DOI: 10.22487/2540766X.2018.v15.i2.11351

Abstract

Bananas is a kind of fruit that has many benefits and economic value. However, because it is perishable, an unappropriate post-harvest handling will decreasing the economic value. Many factors affect the ripening of bananas, one of it is ethylene gas. The ethylene gas that contained in the banana flows from the higher concentration to the lower one. The flow should be controlled in order to make it decaying properly. Temperature is a parameter that affects the flow of ethylene. This research offers storage temperature regulation such that the life time of banana could be extended. A mathematical model that represents the ethylene flow among the subpopulations is discussed. The population are devided into sub-population of unripe bananas, normal ripe bananas, ripe bananas wounds, and rotten bananas. The Stability of the model is evaluated in the critical point by Jacobian matrix and the Routh Hurwitz Criteria. The control is design by minimizing the temperature parameters using the Pontryagin Minimum Principle. Simulation is ilustrated in four cases, the firts case is no bananas wound initially, second case is no bananas rot initially, third case is no ripened normal bananas initially, and the fourth case is the bananas ripe initially exiting. The simulations shows that before controling the temperature, in the amount of 120 bananas of firts case, the proces is condcuted in sixteen days, ten days for the second case, nine days for the third case, and eight days for the fourth case. After controling the temperature, for some amount of bananas of firts case, the proces is conduted in seventeen days, eleven days for the second case, ten days for the third case, and nine days for the fourth case.
OPTIMALISASI BIAYA TRANSPORTASI PENDISTRIBUSIAN KERAMIK MENGGUNAKAN MODEL TRANSPORTASI METODE MODIFIED DISTRIBUSITION (STUDI KASUS : PT. INDAH BANGUNAN) Ayulinansyah, S; Jaya, A I; Sahari, A
JURNAL ILMIAH MATEMATIKA DAN TERAPAN Vol. 15 No. 2 (2018)
Publisher : Program Studi Matematika, Universitas Tadulako

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (513.786 KB) | DOI: 10.22487/2540766X.2018.v15.i2.11352

Abstract

This study was conducted to obtain optimal costs of transportation in the distribution of Ceramics at PT. Indah Bangunan Palu. This research is carried out by several steps such as: making the model transportation of obtained the data, determining the initial solution by the method of Least cost, and finding the optimal solution with Modified Distribution (MODI) method. The research results showed that an initial solution is 𝑅𝑝. 53.919.000 and the optimal solution is 𝑅𝑝. 53.756.000. On the other hand the transportation cost from the company before optimization is 𝑅𝑝. 62.126.000. This indicates that PT. Indah Bangunan Palu can optimize the costs of transport for the distribution of ceramics on September 2016 with a cost savings of 𝑅𝑝. 8.370.000 or 13%
OPTIMALISASI BIAYA DAN WAKTU PELAKSANAAN PROYEK PEMBANGUNAN PERUMAHAN CITRALAND PALU MENGGUNAKAN METODE PROGRAM EVALUATION AND REVIEW TECHNIQUE (PERT) – CRITICAL PATH METHOD (CPM) Wardani, N M E; Musdalifah, S; Lusiyanti, D
JURNAL ILMIAH MATEMATIKA DAN TERAPAN Vol. 15 No. 2 (2018)
Publisher : Program Studi Matematika, Universitas Tadulako

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (492.976 KB) | DOI: 10.22487/2540766X.2018.v15.i2.11353

Abstract

This study aimed to optimize the cost and time of implementation of development projects in residential homes Citraland located in the town of Palu subdistrict villages Mantikulore Tondo. Completion of construction of residential houses has been delayed time of completion of the construction. This leads to greater costs incurred in development projects. Therefore, to solve these problems is necessary to analyze the optimization of project time to determine how long a project is completed. Optimization of costs and project execution time is calculated using the Critical Path Method (CPM). The method is based on the results obtained, namely the normal completion time of the project for 69 weeks with a total cost of Rp. 297,887,212.00. Aftertime optimization through crashing eachthe implementation of the activities of the development to 48 weeks with a total cost of Rp. 350,261,175.00. The probability of completion of project design development using methods Program Evolution and Review Technique (PERT) is great opportunity to complete the project work for 48 weeks amounted to 93.19%
OPTIMALISASI KEBUTUHAN GIZI PADA MENU MAKANAN IBU HAMIL ANEMIA MENGGUNAKAN METODE BRACH AND BOUND (Studi Kasus di Kecamatan Ampana Tete Kabupaten Tojo Una-Una Provinsi Sulawesi Tengah) Zulhajrah, Zulhajrah; Jaya, A I; Sahari, A
JURNAL ILMIAH MATEMATIKA DAN TERAPAN Vol. 15 No. 2 (2018)
Publisher : Program Studi Matematika, Universitas Tadulako

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (433.219 KB) | DOI: 10.22487/2540766X.2018.v15.i2.11354

Abstract

Anemia in pregnancy is a common problem because it reflects the value of socio-economic welfare of society and has had enormous influence on the quality of human resources. Settings menu maternal anemia is an effort to maintain the condition of pregnant women with anemia. This study aims to obtain optimal value nutritional needs of pregnant women anemia in Ampana Tete District of Tojo Una-Una Central Sulawesi province by using the branch and bound method. The parameters used in this study are the type of staple foods (𝑥1 ), the type of vegetable(𝑥2 ), types of fruit(𝑥3 ), types of side dishes(𝑥4 ), green beans(𝑥5 ), and milk(𝑥6 ), Results show 1st, 2 nd, and 3 rd of 36 combinations known to the most optimal combination for all trimester is a combination of 14. For the first trimester are as many as rice, 348 g spinach were 116 g,chicken eggs as 482 gmuch,and green beans 138 g, at a cost of 𝑅𝑝. 15680,00, 2nd trimester is as much as rice, 381 g spinach amount to 167 g, chicken 690 g eggs, and green beans as much as 154 g and of milk 3 g at a cost of 𝑅𝑝 20498,50, and the third trimester is rice, 345 g spinach, 127 g, chicken 914 g eggs, and green beans 176 g, at a cost of 𝑅𝑝. 24086.00 per day. The analysis has not been as expected because one of the drawbacks is the use of linear programming linearity as sumption that sometimes does not correspond to reality.
PENGATURAN PERSEDIAAN BERAS DI PERUM BULOG DIVRE SULTENG DENGAN METODE ECONOMIC ORDER QUANTITY (EOQ) Nildawati, Nildawati; Ratianingsih, R; Sahari, A
JURNAL ILMIAH MATEMATIKA DAN TERAPAN Vol. 15 No. 2 (2018)
Publisher : Program Studi Matematika, Universitas Tadulako

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (681.258 KB) | DOI: 10.22487/2540766X.2018.v15.i2.11355

Abstract

Perum BULOG of Central Sulawesi Division is a national rice logistic company that its responsibility is to guarantee the sufficiency to meet the rice needs. Perum BULOG also responsible to keep rice price stability. One of the rice price component is the inventory costs that need to be managed. In this research the management is refered to the rice scheme demand of four storages, that are Olaya, Lawanga, Jaya Kencana Toili and Galang. This study uses EOQ (Economic Order Quantity) that consist of five priorities, that are determining the of economical order, determining the amount of safety stock, determining the maximum inventory quantities, determining the reorder point and determining total inventory cost. The results showed that the number of economical order storage of Olaya is 1.817.120,57 kg/message, Lawanga is 1.893.400,78 kg/message, Jaya Kencana Toili is 1.575.543,38 kg/messages and Galang is 1.578.742,75 kg/message. The total Inventory Security for Olaya is 32.371,28 kg, Lawanga is 41.020,07 kg, Jaya Kencana Toili is 30.630,61 kg, and Galang is 57.307,99kg. The maximum inventory for Olaya is 1.849.491,85 kg, Lawanga is 1.934.420,85 kg, Jaya Kencana Toili is 1.606.173,99 kg, and Galang is 1.636.050,74 kg. The reorder point is proposed when rice stock of Olaya reaches 323.664,52 kg, Lawanga reaches 357.282,87 kg, Jaya Kencana Toili reaches 249.620,29 kg and Galang reaches 277.188 kg. The total inventory cost that use Economic Order Quantity is Rp. 2.507.626,39 for Olaya, Rp. 2.612.893,07 for Lawanga, Rp.2.174.249 ,87 for Jaya Kencana Toili, and Rp 2.178.665,00 for Galang. The Efficiency cost of rice supplies BULOG Division is Rp.40.405,29 for Olaya, Rp. 719.256,02 for Lawanga, Rp. 51187.63 for Jaya Kencana Toili, and Rp. 153.528,73 for Galang. These result gives greatest efficiency at the cost of supplies of Perum BULOG Division Central Sulawesi for Lawanga 22% as much.
SISTEM SEDERHANA UNTUK MEMPREDIKSI RISIKO PEMBERIAN KREDIT Lusiyanti, D; Nacong, N
JURNAL ILMIAH MATEMATIKA DAN TERAPAN Vol. 15 No. 2 (2018)
Publisher : Program Studi Matematika, Universitas Tadulako

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (394.101 KB) | DOI: 10.22487/2540766X.2018.v15.i2.11360

Abstract

Credit risk prediction is very beneficial for the bank or financing institution in making credit decisions. In the decisionmaking, a decision maker in a banking must be able to take the right decision to accept or reject the credit application. If the decision maker is right in making a decision, then the bank will get customers who support the health and sustainability of the banking business, and vice versa. In this study, Support Vector Machien (SVM) is implemented to predict the crediting risk. The data used is data obtained from one of the financing institutions. By using different activation functions, 80.9524% accuracy is obtained or there are 51 precisely predictable data from 63 existing data

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